Abstract
Multi-view data coming from multiple ways or being presented in multiple forms, have more information than single-view data. So multi-view clustering benefits from exploiting the more information. Nonnegative matrix factorization (NMF) is an efficient method to learn low-rank approximation of nonnegative matrix of nonnegative data, but it may not be good at clustering. This paper presents a novel multi-view clustering algorithm (called MVCS) which properly combines the similarity and NMF. It aims to obtain latent features shared by multiple views with factorizations, which is a common factor matrix attained from the views and the common similarity matrix. Besides, according to the reconstruction precisions of data matrices, MVCS could adaptively learn the weight. Experiments on real-world data sets demonstrate that our approach may effectively facilitate multi-view clustering and induce superior clustering results.
This work is supported by the National Science Foundation of China (Nos. 61170111 and 61572407), the Project of National Science and Technology Support Program (No. 2015BAH19F02) and the Science and Technology Planning Project of Sichuan Province (No. 2014SZ0207).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Liu, J., Jiang, Y., Li, Z., Zhou, Z.H., Lu, H.: Partially shared latent factor learning with multiview data. IEEE Trans. Neural Netw. Learn. Syst. 26(6), 1233–1246 (2015)
Xu, C., Tao, D., Xu, C.: A survey on multi-view learning. CoRR [Online], vol. abs/1304.5634 (2013). arxiv.org/abs/1304.5634
Blum, A., Mitchell, T.: Combining labeled and unlabeled data with co-training. In: Proceedings of the Workshop on Computational Learning, pp. 92–100 (1998)
Wang, Z., Chen, S., Sun, T.: MultiK-MHKS: a novel multiple kernel learning algorithm. IEEE Trans. Pattern Anal. Mach. Intell. 30(2), 348–353 (2008)
Subrahmanya, N., Shin, Y.C.: Sparse multiple kernel learning for signal processing applications. IEEE Trans. Pattern Anal. Mach. Intell. 32(5), 788–798 (2010)
Wang, W., Zhou, Z.H.: A new analysis of co-training. In: Proceedings of the 27th International Conference on Machine Learning, pp. 1135–1142 (2010)
Yu, S., Krishnapuram, B., Rosales, R., Rao, R.B.: Bayesian co-training. J. Mach. Learn. Res. 12, 2649–2680 (2011)
Amini, M.R., Usunier, N., Goutte, C., et al.: Learning from multiple partially observed viewsan application to multilingual text categorization. In: Advances in Neural Information Processing Systems, vol. 22, no. 1, pp. 28–36 (2010)
Quadrianto, N., Lampert, C.H.: Learning multi-view neighborhood preserving projections. In: Proceedings of the International Conference on Machine Learning, pp. 425–432 (2011)
Zhang, J.S., Wang, C.P., Yang, Y.Q.: Learning latent features by nonnegative matrix factorization combining similarity judgments. Neurocomputing 155, 43–52 (2015)
Muslea, I., Minton, S., Knoblock, C.A.: Active+Semi-supervised Learning=Robust Multiview Learning. In: Machine Learning-international Workshop then Conference, pp. 435–442 (2002)
Kumar, A., Rai, P., Daume III, H.: Co-regularized multi-view spectral clustering. In: Advances in Neural Information Processing Systems, pp. 1413–1432 (2011)
Lanckriet, G.R.G., Cristianini, N., Bartlett, P., Ghaoui, L.E., Jordan, M.I.: Learning the kernel matrix with semidefinite programming. J. Mach. Learn. Res. 5, 27–72 (2004)
Kloft, M., Blanchard, G.: The local rademacher complexity of Lp-norm multiple kernel learning. CoRR [Online], vol. abs/1304.0790 (2011). arXiv.org/abs/1304.0790
Kursun, O., Alpaydin, E.: Canonical correlation analysis for multiview semisupervised feature extraction. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS, vol. 6113, pp. 430–436. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13208-7_54
Lee, D., Seung, H.S.: Learning the parts of objects by nonnegative matrix factorization. Nature 401, 788–791 (1999)
Lee, H., Yoo, J., Choi, S.: Semi-supervised nonnegative matrix factorization. IEEE Sign. Process. Lett. 17, 4–7 (2010)
Sato, M., Sato, Y.: Structural model of similarity for fuzzy clustering. In: IEEE International Conference on Fuzzy Systems, vol. 2, pp. 963–968 (1997)
Wang, H., Nie, F., Huang, H., Yang, Y.: Learning frame relevance for video classification. In: Proceedings of the 2011 ACM Multimedia Conference and Co-located Workshops, pp. 1345–1348 (2011)
Miao, L.D., Qi, H.R.: Endmember extraction from highly mixed data using minimum volume constrained nonnegative matrix factorization. IEEE Trans. Geosci. Remote Sens. 45(3), 765–777 (2007)
Xiao, C., Nie, F., Huang, H.: Multi-view K-means clustering on Big Data. In: Proceedings of the 23rd International Joint Conference on Artificial Intelligence, pp. 2598–2604 (2013)
Xia, R., Pan, Y., Du, L., Yin, J.: Robust multi-view spectral clustering via low-rank, sparse decomposition. In: Proceedings of 28th AAAI Conference on Artificial Intelligence, vol. 3, pp. 2149–2155 (2011)
Kumar, A., Rai, P., Daum, H.: Co-regularized multi-view spectral clustering. In: Advances in Neural Information Processing Systems (2011)
Tzortz, G., Likas, A.: Kernel-based weighted multi-view clustering. In: Proceedings of 12th International Conference on Data Mining, pp. 675–684 (2012)
Chen, X., Xu, X., Huang, J., Ye, Y.: TW-K-means: automated two-level variable weighting clustering algorithm for multiview data. IEEE Trans. Knowl. Data Eng. 25(4), 932–944 (2013)
Liu, J., Wang, C., Gao, J., Han, J.: Multi-view clustering via joint nonnegative matrix factorization. In: Proceedings of the 2013 SIAN International Conference on Data Mining, pp. 252–260 (2013)
Rand, W.M.: Objective critera for the evaluation of clustering methods. J. Am. Stat. Assoc. 66(336), 846–850 (1971)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this paper
Cite this paper
He, M., Yang, Y., Wang, H. (2016). Learning Latent Features for Multi-view Clustering Based on NMF. In: Flores, V., et al. Rough Sets. IJCRS 2016. Lecture Notes in Computer Science(), vol 9920. Springer, Cham. https://doi.org/10.1007/978-3-319-47160-0_42
Download citation
DOI: https://doi.org/10.1007/978-3-319-47160-0_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47159-4
Online ISBN: 978-3-319-47160-0
eBook Packages: Computer ScienceComputer Science (R0)